Answer :
Answer:
Step-by-step explanation:
Let L represent the length of the rectangle. Therefore, the width WW is given by: W=L−4
The area of the rectangle is given by: Area=L×W Substituting the known area and the expression for W: 12=L×(L−4)
This simplifies to: 12=L2−4L
Rearranging to form a standard quadratic equation: L2−4L−12=0
To solve this quadratic equation, we can use the quadratic formula:
. Thus, the length L is 6 units.
Now, we can find the width W: W=L−4=6−4=2
Therefore, the width of the rectangle is 2 units.
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